Probabilistic interpretation of quantum field theories
High Energy Physics - Theory
2025-01-27 v1 Probability
Abstract
In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D conformal field theory, namely the so-called Liouville theory. This gives us the opportunity to review Segal's axioms for conformal field theories and to discuss in some detail how the free field fits into them.
Cite
@article{arxiv.2501.14361,
title = {Probabilistic interpretation of quantum field theories},
author = {Martin Hairer},
journal= {arXiv preprint arXiv:2501.14361},
year = {2025}
}